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Finding the Third Proportional to 352,839 and 832,795.50

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Solution

The third proportional to 352,839 and 832,795.50 is: 1,965,622.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,839 : 832,795.50 = 832,795.50 : x
  2. Step 2: Convert to fraction form
    352,839/832,795.50 = 832,795.50/x
  3. Step 3: Cross multiply
    352,839x = 832,795.50 × 832,795.50
  4. Step 4: Simplify right side
    352,839x = 693,548,344,820.25
  5. Step 5: Solve for x
    x = 693,548,344,820.25/352,839
  6. Step 6: Final answer
    x = 1,965,622.69

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.